Paul, Shawn and Tim have a box of marbles. Paul has 1/5 of the marbles. Shawn has 3/8 of the remainder and Tim has has the rest of the marbles. Tim has 84 marbles more than Paul. How many marbles are in the box?​

Answers

Answer 1

Answer:

374 marbles

Step-by-step explanation:

Paul (P) has 1/5 this was given

Shawn (S) has 3/8 this was given

That means Tim (T) must have 17/40 because 1/5 + 3/8 = 23/40 and 1- 23/40 = 17/40

Those are the fractional amounts each boy has. We can set up an equation based on the information in the problem to get the total number of marbles (M). Tim has 84 marbles more than Paul. Thus, Tim has a greater number of marbles. 84 more, to be exact. Our equation would then look like this:

P+84=T

Because we have three unknowns, we need three equations. Thus, we need two more, but we can get them from our fractions at the top.

We need to have a question where we find the total number of marbles.

We know that Paul has 1/5 of the marbles. We can use M to represent the total number of marbles.

P = (1/5)M

T= (17/40)M

We had this from before: P+84=T

If we substitute into the equation:

(1/5)M + 84 = (17/40)M

Now there is only one variable in the equation and we can solve for M.

For M, I got 1120/3 which simplifies to 373 and 1/3, since there cannot be 1/3 of a marble, we can round to 374. There are three hundred, seventy-four marbles in the box.

If you want to check the answer, you can put (1120/3) back in for M in the third equation and you will see that each side is equivalent.


Related Questions

Is there any outliers? Explanation needed, if yes. If no, then I don’t need one. Thank you!

Answers

Answer:

No there are not any outliers

Deepak can type 2000 words in minutes. How many words Can he type in 37 minutes ​

Answers

Answer:

74,000 words he can type in 37 minutes

A house is on an 80,000 square foot lot. About how many acres is the lot?

Answers

Answer:

There

Step-by-step explanation:

mark me brainliest!!

Answer:

1.836 acres

Step-by-step explanation:

Brainliest if correct

Answers

Answer:

3/8 & 4/8

Step-by-step explanation:

1/2 - 1/8 = 4/8 - 1/8 = 3/8

x - 1/8 = 3/8

x = 4/8    

Write the equation of the transformed graph of tangent with period 4 that has
been shifted vertically up 3 units. (3 points)

Answers

Answer:

  g(x) = 3 + tan(πx/4)

Step-by-step explanation:

A tangent function has a period of π. In order to make it have a period of 4, it needs to be stretched horizontally by a factor of 4/π. A function is stretched horizontally by a factor of k by replacing x with x/k.

In order for the function to be shifted vertically up by 3 units, 3 must be added to the function value. That is, the transformed function becomes ...

  g(x) = tan(x/(4/π)) +3

  g(x) = tan(πx/4) +3

Add
3 2/7 + 7 5/14 as fractions

Answers

Answer:

Step-by-step explanation:

There are two methods of doing this

one is in the pin and another:

3 2/7 =23/7

7 5/14= 103/14

23/7 + 103/14 = Lcm 14

23/7 *2= 46/14

46/14 + 103/14 =149/14

149/14 = 10 9/14

A cab ride from your home to the airport cost $23.47. If you want to tip the cab driver close to 10 percent of the fare, how much should you tip?

Answers

Answer:

$2.35

Step-by-step explanation:

Multiply $23.47 by 10%

10% of $23.47 is $2.35

Maya has 760 carrots. 27% of them went rotten. What number of the carrots ARE'NT rotten?

Answers

Answer:

About 554 carrots aren't rotten.

Step-by-step explanation:

100% - 27% = 73%

73% = 0.73

760 x 0.73 = 554.80

Answer:

205.2 carrots went rotten

Step-by-step explanation:

27% of 760 = 205.2

I hope I'm not too late and that this helps!

If it does, please give me brainliest :)

Prove triangle congruence by SSS and SAS

Answers

Answer:

Step-by-step explanation:

Draw a line from the US Customary measurement on top to its approximate metric equivalent or
the bottom
US customary: 2 inches
5 pounds
8 pints
Metric: 4 liters 50 grams
5cm
1 Liter 2 kg

Answers

Answer:

  see table below

Step-by-step explanation:

The exact metric conversions for length, mass, and volume are ...

An inch is 2.54 cm.

A pound is 0.45359237 kg.

A pint is 0.473176473 liters.

The approximate conversions would be ...

 2 inches ≈ 5 cm

  5 pounds ≈ 2 kg

  8 pints ≈ 4 liters

Please i need your help

Answers

Answer:

Can you take a full picture

Step-by-step explanation:

Answer:
Choice A:
Final price:-  $17.50
Saved amount :-7.50


Choice B:
Final price: $24.00

Saved amount: $8.00

Therefore the choice A is better deal.

HELP ME NEED QUICKLY

Answers

Answer:

2.02

....

.....

.....

......

......

write a polynomial that represents the area of the square

Answers

Answer:

y = x² + 8x + 16

Step-by-step explanation:

blue square = x × x = x²

green rectangle = 4 × x = 4x

yellow square = 4 × 4 = 16

Let y = total area of the square

⇒ y = blue square + green rectangle + green rectangle + yellow square

       = x² + 4x + 4x + 16

       = x² + 8x + 16

side=x+4

Area:-

side²(x+4)²x²+8x+16units²

In quadrilateral ABCD, AB ||CD which additional peice of information is needed to determine that ABCD is a parallelogram

Answers

Answer:

BC||AD

Step-by-step explanation:

A parallelogram is said to be parallelogram iff it's opposite pairs of sides are parallel to each other.

Since one pair is parallel (given)

then another pair needs to be parallel.

Hence BC||AD


You purchase a TV for $2,750.
The sales tax is 7.5%. What is the
total price including sales tax?

Answers

Sales tax: $206.25

■ Cost/Price before ST: $2,750.00

■ Total Cost/Price including ST: $2,956.25


6. One side of a rhombus is 14 inches long, and one diagonal of the rhombus is 15 inches
long. What is the area, in square inches, of the rhombus?

Answers

Answer:

3.31

Step-by-step explanation:

14ª1 is 718th 15/10 is equal to 15 and 10 tenths

A. 31.2
B. 39.6
C. 62.5
D. 79.2

Answers

Answer:

a

Step-by-step explanation:

HELPPP PLS SHOW WORK

Answers

Answer:

61

Step-by-step explanation:

1. let the unknown be x

2. using theorem of Pythagoras that states the hypotenuse will be equal to the sum of the other two sides we can determine that 75=14+X

3. this implies that X=75-14

4. therefore X= 61

A monument in a park is shaped like a square
pyramid. The dimensions are shown in the net.
3 m
What is the surface area of the monument,
including the base?
2 m
3 m
3 m
2 m

SP......
3 m

Answers

Answer:

14 square meters

Step-by-step explanation:

the first part of this question can be to find the bases area

the base is 2 * 2 which is 4 square meters

then you find the area of the triangles

the length is 3 and the base is 2

then you multiply the amount of that by 1/2 and then by 4 because of the number of triangles there are

2 * 3 * 1/2 * 4 = 12

this is the area of the triangles added together

then you add 12 to 2 for the total

12 + 2 = 14 m^2

What is the volume of a cube whose edge measures 21 centimeters each

Answers

Question :-

What is the Volume of a Cube, whose Edge measures 21 cm each .

Answer :-

Volume of the Cube is 9261 cm³ .

[tex] \rule {180pt} {2pt} [/tex]

Given :-

Edge of the Cube = 21 cm

To Find :-

Volume of the Cube = ?

Solution :-

As per the provided information in the given question, we have been given that the Edge of the Cube is 21 cm . And, we have been asked to calculate the Volume of the Cube .

For calculating the Volume , we will use the Formula :-

Volume of Cube = ( edge )³

Therefore , by Substituting the given values in the above Formula :-

⇒ Volume = ( edge )³

⇒ Volume = ( 21 )³

⇒ Volume = 21 × 21 × 21

⇒ Volume = 441 × 21

⇒ Volume = 9261

Hence :-

Volume = 9261 cm³ .

[tex] \underline {\rule {180pt} {4pt}} [/tex]


Find the constant rate of change for each linear function and interpret its meaning

Answers

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

and to get it, we simply need two points off of the straight line, hmm let's use the ones in the picture below.

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}}\implies \cfrac{2}{4}\implies \cfrac{1}{2}[/tex]

the entry to record the purchase of materials using a job costing system would include a
A. credit to work-in-process inventory
B. debit to accounts payable
C. debit to raw materials inventory
D. debit to work-in-process inventory

Answers

C

Debit to raw materials inventory
C. Debit to raw materials inventory

two regular polygons shown are similar the area of the smaller figure is about 390cm^2 choose the best estimate for the larger figure

Answers

Step-by-step explanation:

c.is correct your welcome

Help pls help me with homework

Answers

What did you need help with which part

You play basketball at your school’s indoor stadium. You have two payment options. Option A is to buy a membership card for $20 and pay $2 each time you go to the gym, t. Option B is to pay $4 each time you go. After how many trips to the gym will the costs be the same?

The costs are the same after
trips to the gym.

Answers

Answer:

10 times

Step-by-step explanation:

Let x be the amount of times you go to the gym

Option A would be 20+2x

Option B would be 4x


now the question is after how many trips would the cost be the same?


20+2x=4x

Solve the equation so

20=4x-2x

20=2x

X=10

It would take 10 times for the cost to be the same for both options

the sum of 0.5 and 2/3

Answers

Answer:

[tex]1\frac{1}{6} or 1.167[/tex]

Step-by-step explanation:

[tex]\frac{1}{2} + \frac{2}{3}[/tex]                    (convert 0.5 to a fraction: [tex]\frac{1}{2}[/tex]

[tex]= (\frac{3}{3} )\frac{1}{2}+ \frac{2}{3}(\frac{2}{2} )[/tex]     (find common denominator)

[tex]=\frac{3}{6} +\frac{4}{6}[/tex]               (add the numerators together)

[tex]=\frac{7}{6}[/tex]                      (if [tex]\frac{6}{6}[/tex] is equal to 1, but we have one extra it becomes...)

[tex]=1\frac{1}{6}[/tex]                    (convert to a decimal if needed)

[tex]= 1.167[/tex]

Hope this helps!! Please mark Brainliest!!

Phil will be moving into a new apartment. If he lives alone, his rent will cost $400 per month. If he has a roommate, the total rent will be 30 percent more, but he will pay only half of it. How much money will Phil save on rent per month by having a roommate?

Answers

Answer:

$140

Step-by-step explanation:

Rent alone = 400

Rent with roommate = (400 + 30%) / 2
= (400 + 120) / 2

= 520 / 2

Rent with roommate = 260

400 - 260 = 140

A rectangular room is 3 times as long as it is wide, and its perimeter is 40 meters. Find the dimension of the
room.

Answers

Answer: 5 meters

Why?:

Let the width of the room be denoted by 'W'

Since the room is three times as long as its width, the length will be '3W'

remember perimeter of a rectangle is =  2(length + width) and is given in the question as 40 meters.

      Perimeter =  2 (length + width)

                 40 = 2 (3W + W)

                 40 = 2 (4W)

                 40 = 8W

(Dividing both sides by 8), gives

                 5 = W

Answer:

l = 15

w = 5

Step-by-step explanation:

l = 3w

40 = 2l + 2w

40 = 6w + 2w

40 = 8w

8w = 40

w = 40/8

w = 5

l = 15

The final grade for a class is calculated by taking 75% of the
average test score and adding 25% of the score on the final exam. If all
scores are out of 100 and a student has a 76 test average, what score does
the student need on the final exam to have a final grade of at least 80?

Answers

Answer: I pretty sure the answer is 92!

Step-by-step explanation:

75% of the test score would be 76 x 0.75 = 57

80-57 = 23

They need 23 more points to get an 80

The 23 is 25% of the final exam grade so they would need to score a 23 x 4 = 92 on the final exam


answer: 92

Solve for all missing sides and angles.

Answers

Answer:

Step-by-step explanation:

Sum of interior angles in a triangle is 180degree.

<B + 15degree + 45degree = 180degree

<B = 180 - 45 - 15 = 120 degree

By sine rule,

sin<B / AC = sin<C / AB = sin <A / BC

sin120degree / 200 = sin15degree / AB = sin45degree / BC

AB = 200*sin15degree/sin120degree

= 59.77

BC = 200*sin45degree/sin120degree

= 163.30

Other Questions
Homework 4: Trigonometric Ratios &Finding Missing Sidessolve for x For Anya's birthday her father gave out colorful birthday hats that were cone shaped. Anya wanted to fill her hat with candy. What is the volume of candy if the hate has a diameter of 8. cm and a height of 7 cm. Line A passes through the points (-3, -1) and (4, 13). Line B passes through the points (6, -1) and (-4, 19). Find the point where line A intersects line B Which part comes at the end of a story?athe resolutionbthe turning pointthe conflict Which equation illustrates the Associative Property of Multiplication? WILL MARK BRAINLEIST IF ANSWERED 3(x + 2) = 3x + 62xy = yx33x = 0(3x)y = 3(xy) A university has 29,370 students. In a random sample of 210 students, 14 speak three or more languages. Predict the number of students at the university who speak three or more languages. The ice cream truck has a jar containing a slip of paper for each of the flavors . Shaun chooses three slips of paper without looking . What is the probability that Shaun's triple scoop cone contains two of his five favorite flavors ? Find the error in this And then solve it correctly What is the value of OL? How did World War II either positively or negatively affect different minority groups? 75% of 120 is what number A square with side of k cm has perimeter of 36 cm. find the value of k. i need to show the work by the way. The note in this example is named F B A C D E G solve for y in terms of x (rewrite each equation so that it starts with "y=")a. 6x + 5y = 20b. 4x - 8y = 16thanks! Marjorie has just experienced a traumatic event; she is feeling cut off from herself and reports seeing herself from outside her body. A mental health professional would say that Marjorie is experiencing:_________. A. derealization. B. depersonalization. C. amnesia. D. flashbacks. Which of the following are signs of achemical change?A. changes in state of matter, volume, and massB. changes in odor, color, and temperatureC. changes in shape, position, and sizeD. changes in size, temperature, and state of matter Question 1 Two lines intersect forming 4 angles. A pair of vertical angles measures 7 x degrees and x + 90 degrees.a. Write and solve an equation to find the value of x. Show work in the box below.The value of x is _____b. The measure of each vertical angle is ______. How many oxygen atom has protein 2. What happens to the wavelength as the frequency increases?